<?xml version="1.0" encoding="ascii"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
          "DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
<head>
  <title>pyprocessing.mathfunctions</title>
  <link rel="stylesheet" href="epydoc.css" type="text/css" />
  <script type="text/javascript" src="epydoc.js"></script>
</head>

<body bgcolor="white" text="black" link="blue" vlink="#204080"
      alink="#204080">
<!-- ==================== NAVIGATION BAR ==================== -->
<table class="navbar" border="0" width="100%" cellpadding="0"
       bgcolor="#a0c0ff" cellspacing="0">
  <tr valign="middle">
  <!-- Home link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="pyprocessing-module.html">Home</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Tree link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="module-tree.html">Trees</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Index link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="identifier-index.html">Indices</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Help link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="help.html">Help</a>&nbsp;&nbsp;&nbsp;</th>

      <th class="navbar" width="100%"></th>
  </tr>
</table>
<table width="100%" cellpadding="0" cellspacing="0">
  <tr valign="top">
    <td width="100%">
      <span class="breadcrumbs">
        <a href="pyprocessing-module.html">Package&nbsp;pyprocessing</a> ::
        Module&nbsp;mathfunctions
      </span>
    </td>
    <td>
      <table cellpadding="0" cellspacing="0">
        <!-- hide/show private -->
        <tr><td align="right"><span class="options">[<a href="javascript:void(0);" class="privatelink"
    onclick="toggle_private();">hide&nbsp;private</a>]</span></td></tr>
        <tr><td align="right"><span class="options"
            >[<a href="frames.html" target="_top">frames</a
            >]&nbsp;|&nbsp;<a href="pyprocessing.mathfunctions-pysrc.html"
            target="_top">no&nbsp;frames</a>]</span></td></tr>
      </table>
    </td>
  </tr>
</table>
<h1 class="epydoc">Source Code for <a href="pyprocessing.mathfunctions-module.html">Module pyprocessing.mathfunctions</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-comment">#=====================</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># SOME MATH FUNCTIONS (not in python's math)</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#=====================</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">math</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-0" class="py-name" targets="Module pyprocessing.constants=pyprocessing.constants-module.html"><a title="pyprocessing.constants" class="py-name" href="#" onclick="return doclink('link-0', 'constants', 'link-0');">constants</a></tt> <tt class="py-keyword">import</tt> <tt id="link-1" class="py-name" targets="Variable pyprocessing.constants.perlin=pyprocessing.constants-module.html#perlin,Variable pyprocessing.lights'.perlin=pyprocessing.lights%27-module.html#perlin"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-1', 'perlin', 'link-1');">perlin</a></tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"> </tt>
<a name="noise"></a><div id="noise-def"><a name="L8"></a><tt class="py-lineno">  8</tt> <a class="py-toggle" href="#" id="noise-toggle" onclick="return toggle('noise');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#noise">noise</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">args</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="noise-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="noise-expanded"><a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line">    <tt class="py-docstring">"""Returns the Perlin noise value at specified coordinates."""</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line">    <tt id="link-2" class="py-name" targets="Variable pyprocessing.globs.mouse.x=pyprocessing.globs.mouse-class.html#x,Variable pyprocessing.globs.pmouse.x=pyprocessing.globs.pmouse-class.html#x,Variable pyprocessing.pvector.PVector.x=pyprocessing.pvector.PVector-class.html#x"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-2', 'x', 'link-2');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">3</tt><tt class="py-op">:</tt> <tt id="link-3" class="py-name" targets="Variable pyprocessing.globs.mouse.y=pyprocessing.globs.mouse-class.html#y,Variable pyprocessing.globs.pmouse.y=pyprocessing.globs.pmouse-class.html#y,Variable pyprocessing.pvector.PVector.y=pyprocessing.pvector.PVector-class.html#y"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-3', 'y', 'link-3');">y</a></tt><tt class="py-op">,</tt> <tt id="link-4" class="py-name" targets="Variable pyprocessing.pvector.PVector.z=pyprocessing.pvector.PVector-class.html#z"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-4', 'z', 'link-4');">z</a></tt> <tt class="py-op">=</tt> <tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">2</tt><tt class="py-op">]</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> <tt id="link-5" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-5', 'y', 'link-3');">y</a></tt><tt class="py-op">,</tt> <tt id="link-6" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-6', 'z', 'link-4');">z</a></tt> <tt class="py-op">=</tt> <tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> <tt id="link-7" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-7', 'y', 'link-3');">y</a></tt> <tt class="py-op">=</tt> <tt id="link-8" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-8', 'z', 'link-4');">z</a></tt> <tt class="py-op">=</tt> <tt class="py-number">0</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line">    <tt class="py-name">X</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">floor</tt><tt class="py-op">(</tt><tt id="link-9" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-9', 'x', 'link-2');">x</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">&amp;</tt> <tt class="py-number">255</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line">    <tt class="py-name">Y</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">floor</tt><tt class="py-op">(</tt><tt id="link-10" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-10', 'y', 'link-3');">y</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">&amp;</tt> <tt class="py-number">255</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line">    <tt class="py-name">Z</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">floor</tt><tt class="py-op">(</tt><tt id="link-11" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-11', 'z', 'link-4');">z</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">&amp;</tt> <tt class="py-number">255</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line">    <tt id="link-12" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-12', 'x', 'link-2');">x</a></tt> <tt class="py-op">-=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">floor</tt><tt class="py-op">(</tt><tt id="link-13" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-13', 'x', 'link-2');">x</a></tt><tt class="py-op">)</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line">    <tt id="link-14" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-14', 'y', 'link-3');">y</a></tt> <tt class="py-op">-=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">floor</tt><tt class="py-op">(</tt><tt id="link-15" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-15', 'y', 'link-3');">y</a></tt><tt class="py-op">)</tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line">    <tt id="link-16" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-16', 'z', 'link-4');">z</a></tt> <tt class="py-op">-=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">floor</tt><tt class="py-op">(</tt><tt id="link-17" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-17', 'z', 'link-4');">z</a></tt><tt class="py-op">)</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line">    <tt class="py-name">u</tt> <tt class="py-op">=</tt> <tt id="link-18" class="py-name" targets="Function pyprocessing.mathfunctions.__fade()=pyprocessing.mathfunctions-module.html#__fade"><a title="pyprocessing.mathfunctions.__fade" class="py-name" href="#" onclick="return doclink('link-18', '__fade', 'link-18');">__fade</a></tt><tt class="py-op">(</tt><tt id="link-19" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-19', 'x', 'link-2');">x</a></tt><tt class="py-op">)</tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line">    <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt id="link-20" class="py-name"><a title="pyprocessing.mathfunctions.__fade" class="py-name" href="#" onclick="return doclink('link-20', '__fade', 'link-18');">__fade</a></tt><tt class="py-op">(</tt><tt id="link-21" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-21', 'y', 'link-3');">y</a></tt><tt class="py-op">)</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line">    <tt class="py-name">w</tt> <tt class="py-op">=</tt> <tt id="link-22" class="py-name"><a title="pyprocessing.mathfunctions.__fade" class="py-name" href="#" onclick="return doclink('link-22', '__fade', 'link-18');">__fade</a></tt><tt class="py-op">(</tt><tt id="link-23" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-23', 'z', 'link-4');">z</a></tt><tt class="py-op">)</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line">    <tt class="py-name">A</tt> <tt class="py-op">=</tt> <tt id="link-24" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-24', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">X</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-name">Y</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line">    <tt class="py-name">AA</tt> <tt class="py-op">=</tt> <tt id="link-25" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-25', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">A</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-name">Z</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line">    <tt class="py-name">AB</tt> <tt class="py-op">=</tt> <tt id="link-26" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-26', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">A</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-name">Z</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line">    <tt class="py-name">B</tt> <tt class="py-op">=</tt> <tt id="link-27" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-27', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">X</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-name">Y</tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line">    <tt class="py-name">BA</tt> <tt class="py-op">=</tt> <tt id="link-28" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-28', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">B</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-name">Z</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line">    <tt class="py-name">BB</tt> <tt class="py-op">=</tt> <tt id="link-29" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-29', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">B</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-name">Z</tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-30" class="py-name" targets="Function pyprocessing.mathfunctions.__plerp()=pyprocessing.mathfunctions-module.html#__plerp"><a title="pyprocessing.mathfunctions.__plerp" class="py-name" href="#" onclick="return doclink('link-30', '__plerp', 'link-30');">__plerp</a></tt><tt class="py-op">(</tt><tt class="py-name">w</tt><tt class="py-op">,</tt> <tt id="link-31" class="py-name"><a title="pyprocessing.mathfunctions.__plerp" class="py-name" href="#" onclick="return doclink('link-31', '__plerp', 'link-30');">__plerp</a></tt><tt class="py-op">(</tt><tt class="py-name">v</tt><tt class="py-op">,</tt> <tt id="link-32" class="py-name"><a title="pyprocessing.mathfunctions.__plerp" class="py-name" href="#" onclick="return doclink('link-32', '__plerp', 'link-30');">__plerp</a></tt><tt class="py-op">(</tt><tt class="py-name">u</tt><tt class="py-op">,</tt> <tt id="link-33" class="py-name" targets="Function pyprocessing.mathfunctions.__grad()=pyprocessing.mathfunctions-module.html#__grad"><a title="pyprocessing.mathfunctions.__grad" class="py-name" href="#" onclick="return doclink('link-33', '__grad', 'link-33');">__grad</a></tt><tt class="py-op">(</tt><tt id="link-34" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-34', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">AA</tt>  <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-35" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-35', 'x', 'link-2');">x</a></tt>  <tt class="py-op">,</tt> <tt id="link-36" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-36', 'y', 'link-3');">y</a></tt>  <tt class="py-op">,</tt> <tt id="link-37" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-37', 'z', 'link-4');">z</a></tt>   <tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-38" class="py-name"><a title="pyprocessing.mathfunctions.__grad" class="py-name" href="#" onclick="return doclink('link-38', '__grad', 'link-33');">__grad</a></tt><tt class="py-op">(</tt><tt id="link-39" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-39', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">BA</tt>  <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-40" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-40', 'x', 'link-2');">x</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt id="link-41" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-41', 'y', 'link-3');">y</a></tt>  <tt class="py-op">,</tt> <tt id="link-42" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-42', 'z', 'link-4');">z</a></tt>   <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt id="link-43" class="py-name"><a title="pyprocessing.mathfunctions.__plerp" class="py-name" href="#" onclick="return doclink('link-43', '__plerp', 'link-30');">__plerp</a></tt><tt class="py-op">(</tt><tt class="py-name">u</tt><tt class="py-op">,</tt> <tt id="link-44" class="py-name"><a title="pyprocessing.mathfunctions.__grad" class="py-name" href="#" onclick="return doclink('link-44', '__grad', 'link-33');">__grad</a></tt><tt class="py-op">(</tt><tt id="link-45" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-45', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">AB</tt>  <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-46" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-46', 'x', 'link-2');">x</a></tt>  <tt class="py-op">,</tt> <tt id="link-47" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-47', 'y', 'link-3');">y</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt id="link-48" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-48', 'z', 'link-4');">z</a></tt>   <tt class="py-op">)</tt><tt class="py-op">,</tt><tt id="link-49" class="py-name"><a title="pyprocessing.mathfunctions.__grad" class="py-name" href="#" onclick="return doclink('link-49', '__grad', 'link-33');">__grad</a></tt><tt class="py-op">(</tt><tt id="link-50" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-50', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">BB</tt>  <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-51" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-51', 'x', 'link-2');">x</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt id="link-52" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-52', 'y', 'link-3');">y</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt id="link-53" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-53', 'z', 'link-4');">z</a></tt>   <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt id="link-54" class="py-name"><a title="pyprocessing.mathfunctions.__plerp" class="py-name" href="#" onclick="return doclink('link-54', '__plerp', 'link-30');">__plerp</a></tt><tt class="py-op">(</tt><tt class="py-name">v</tt><tt class="py-op">,</tt> <tt id="link-55" class="py-name"><a title="pyprocessing.mathfunctions.__plerp" class="py-name" href="#" onclick="return doclink('link-55', '__plerp', 'link-30');">__plerp</a></tt><tt class="py-op">(</tt><tt class="py-name">u</tt><tt class="py-op">,</tt> <tt id="link-56" class="py-name"><a title="pyprocessing.mathfunctions.__grad" class="py-name" href="#" onclick="return doclink('link-56', '__grad', 'link-33');">__grad</a></tt><tt class="py-op">(</tt><tt id="link-57" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-57', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">AA</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-58" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-58', 'x', 'link-2');">x</a></tt>  <tt class="py-op">,</tt> <tt id="link-59" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-59', 'y', 'link-3');">y</a></tt>  <tt class="py-op">,</tt> <tt id="link-60" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-60', 'z', 'link-4');">z</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt><tt id="link-61" class="py-name"><a title="pyprocessing.mathfunctions.__grad" class="py-name" href="#" onclick="return doclink('link-61', '__grad', 'link-33');">__grad</a></tt><tt class="py-op">(</tt><tt id="link-62" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-62', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">BA</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-63" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-63', 'x', 'link-2');">x</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt id="link-64" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-64', 'y', 'link-3');">y</a></tt>  <tt class="py-op">,</tt> <tt id="link-65" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-65', 'z', 'link-4');">z</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt id="link-66" class="py-name"><a title="pyprocessing.mathfunctions.__plerp" class="py-name" href="#" onclick="return doclink('link-66', '__plerp', 'link-30');">__plerp</a></tt><tt class="py-op">(</tt><tt class="py-name">u</tt><tt class="py-op">,</tt> <tt id="link-67" class="py-name"><a title="pyprocessing.mathfunctions.__grad" class="py-name" href="#" onclick="return doclink('link-67', '__grad', 'link-33');">__grad</a></tt><tt class="py-op">(</tt><tt id="link-68" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-68', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">AB</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-69" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-69', 'x', 'link-2');">x</a></tt>  <tt class="py-op">,</tt> <tt id="link-70" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-70', 'y', 'link-3');">y</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt id="link-71" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-71', 'z', 'link-4');">z</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt><tt id="link-72" class="py-name"><a title="pyprocessing.mathfunctions.__grad" class="py-name" href="#" onclick="return doclink('link-72', '__grad', 'link-33');">__grad</a></tt><tt class="py-op">(</tt><tt id="link-73" class="py-name"><a title="pyprocessing.constants.perlin
pyprocessing.lights'.perlin" class="py-name" href="#" onclick="return doclink('link-73', 'perlin', 'link-1');">perlin</a></tt><tt class="py-op">[</tt><tt class="py-name">BB</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt id="link-74" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-74', 'x', 'link-2');">x</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt id="link-75" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-75', 'y', 'link-3');">y</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt id="link-76" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-76', 'z', 'link-4');">z</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line">         </tt>
<a name="__fade"></a><div id="__fade-def"><a name="L31"></a><tt class="py-lineno"> 31</tt> <a class="py-toggle" href="#" id="__fade-toggle" onclick="return toggle('__fade');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#__fade">__fade</a><tt class="py-op">(</tt><tt class="py-param">t</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="__fade-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="__fade-expanded"><a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line">    <tt class="py-docstring">"""Used internally by noise()."""</tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">t</tt><tt class="py-op">*</tt><tt class="py-name">t</tt><tt class="py-op">*</tt><tt class="py-name">t</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">t</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">t</tt><tt class="py-op">*</tt><tt class="py-number">6</tt><tt class="py-op">-</tt><tt class="py-number">15</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-number">10</tt><tt class="py-op">)</tt> </tt>
</div><a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line">     </tt>
<a name="__plerp"></a><div id="__plerp-def"><a name="L35"></a><tt class="py-lineno"> 35</tt> <a class="py-toggle" href="#" id="__plerp-toggle" onclick="return toggle('__plerp');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#__plerp">__plerp</a><tt class="py-op">(</tt><tt class="py-param">t</tt><tt class="py-op">,</tt><tt class="py-param">a</tt><tt class="py-op">,</tt><tt class="py-param">b</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="__plerp-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="__plerp-expanded"><a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line">    <tt class="py-docstring">"""Used internally by noise()."""</tt> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">a</tt><tt class="py-op">+</tt><tt class="py-name">t</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">-</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
</div><a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line">         </tt>
<a name="__grad"></a><div id="__grad-def"><a name="L39"></a><tt class="py-lineno"> 39</tt> <a class="py-toggle" href="#" id="__grad-toggle" onclick="return toggle('__grad');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#__grad">__grad</a><tt class="py-op">(</tt><tt class="py-param">ha</tt><tt class="py-op">,</tt><tt class="py-param">x</tt><tt class="py-op">,</tt><tt class="py-param">y</tt><tt class="py-op">,</tt><tt class="py-param">z</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="__grad-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="__grad-expanded"><a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line">    <tt class="py-docstring">"""Used internally by noise()."""</tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line">    <tt class="py-name">h</tt> <tt class="py-op">=</tt> <tt class="py-name">ha</tt> <tt class="py-op">&amp;</tt> <tt class="py-number">15</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">h</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">8</tt><tt class="py-op">:</tt> <tt class="py-name">u</tt> <tt class="py-op">=</tt> <tt id="link-77" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-77', 'x', 'link-2');">x</a></tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> <tt class="py-name">u</tt> <tt class="py-op">=</tt> <tt id="link-78" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-78', 'y', 'link-3');">y</a></tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">h</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">4</tt><tt class="py-op">:</tt> <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt id="link-79" class="py-name"><a title="pyprocessing.globs.mouse.y
pyprocessing.globs.pmouse.y
pyprocessing.pvector.PVector.y" class="py-name" href="#" onclick="return doclink('link-79', 'y', 'link-3');">y</a></tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">h</tt> <tt class="py-op">==</tt> <tt class="py-number">12</tt> <tt class="py-keyword">or</tt> <tt class="py-name">h</tt> <tt class="py-op">==</tt> <tt class="py-number">14</tt><tt class="py-op">:</tt> <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt id="link-80" class="py-name"><a title="pyprocessing.globs.mouse.x
pyprocessing.globs.pmouse.x
pyprocessing.pvector.PVector.x" class="py-name" href="#" onclick="return doclink('link-80', 'x', 'link-2');">x</a></tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt id="link-81" class="py-name"><a title="pyprocessing.pvector.PVector.z" class="py-name" href="#" onclick="return doclink('link-81', 'z', 'link-4');">z</a></tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">h</tt> <tt class="py-op">&amp;</tt> <tt class="py-number">1</tt> <tt class="py-op">!=</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> <tt class="py-name">u</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-name">u</tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">h</tt> <tt class="py-op">&amp;</tt> <tt class="py-number">2</tt> <tt class="py-op">!=</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-name">v</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">u</tt> <tt class="py-op">+</tt> <tt class="py-name">v</tt> </tt>
</div><a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"> </tt>
<a name="binary"></a><div id="binary-def"><a name="L51"></a><tt class="py-lineno"> 51</tt> <a class="py-toggle" href="#" id="binary-toggle" onclick="return toggle('binary');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#binary">binary</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">args</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="binary-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="binary-expanded"><a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line">    <tt class="py-docstring">"""Converts a char or int to a string containing the equivalent binary notation."""</tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">str</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> <tt class="py-name">number</tt> <tt class="py-op">=</tt> <tt class="py-name">bin</tt><tt class="py-op">(</tt><tt class="py-name">ord</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> <tt class="py-name">number</tt> <tt class="py-op">=</tt> <tt class="py-name">bin</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> <tt class="py-keyword">return</tt> <tt class="py-name">number</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line">    <tt class="py-name">st</tt> <tt class="py-op">=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">number</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">number</tt><tt class="py-op">[</tt><tt class="py-name">st</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
</div><a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line">     </tt>
<a name="hex"></a><div id="hex-def"><a name="L59"></a><tt class="py-lineno"> 59</tt> <a class="py-toggle" href="#" id="hex-toggle" onclick="return toggle('hex');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#hex">hex</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">args</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="hex-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="hex-expanded"><a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line">    <tt class="py-docstring">"""Converts a char or int to a string containing the equivalent hexadecimal notation."""</tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">str</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> <tt class="py-name">number</tt> <tt class="py-op">=</tt> <tt class="py-string">"%X"</tt><tt class="py-op">%</tt><tt class="py-name">ord</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> <tt class="py-name">number</tt> <tt class="py-op">=</tt> <tt class="py-string">"%X"</tt><tt class="py-op">%</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> <tt class="py-keyword">return</tt> <tt class="py-name">number</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">number</tt><tt class="py-op">[</tt><tt class="py-op">(</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">number</tt><tt class="py-op">)</tt><tt class="py-op">-</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
</div><a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line">     </tt>
<a name="unbinary"></a><div id="unbinary-def"><a name="L66"></a><tt class="py-lineno"> 66</tt> <a class="py-toggle" href="#" id="unbinary-toggle" onclick="return toggle('unbinary');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#unbinary">unbinary</a><tt class="py-op">(</tt><tt class="py-param">value</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="unbinary-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="unbinary-expanded"><a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line">    <tt class="py-docstring">"""Converts a string representation of a binary number to its equivalent integer value."""</tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">,</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
</div><a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"> </tt>
<a name="unhex"></a><div id="unhex-def"><a name="L70"></a><tt class="py-lineno"> 70</tt> <a class="py-toggle" href="#" id="unhex-toggle" onclick="return toggle('unhex');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#unhex">unhex</a><tt class="py-op">(</tt><tt class="py-param">value</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="unhex-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="unhex-expanded"><a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line">    <tt class="py-docstring">"""Converts a string representation of a hexadecimal number to its equivalent integer value."""</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">,</tt><tt class="py-number">16</tt><tt class="py-op">)</tt> </tt>
</div><a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line"> </tt>
<a name="byte"></a><div id="byte-def"><a name="L74"></a><tt class="py-lineno"> 74</tt> <a class="py-toggle" href="#" id="byte-toggle" onclick="return toggle('byte');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#byte">byte</a><tt class="py-op">(</tt><tt class="py-param">value</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="byte-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="byte-expanded"><a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">    <tt class="py-docstring">"""Converts a char or int to its byte representation."""</tt> </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">,</tt><tt class="py-name">str</tt><tt class="py-op">)</tt> <tt class="py-keyword">and</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> <tt class="py-keyword">return</tt> <tt class="py-name">ord</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">)</tt> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">,</tt><tt class="py-name">int</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">value</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">127</tt><tt class="py-op">:</tt> <tt class="py-keyword">return</tt> <tt id="link-82" class="py-name" targets="Function pyprocessing.mathfunctions.byte()=pyprocessing.mathfunctions-module.html#byte"><a title="pyprocessing.mathfunctions.byte" class="py-name" href="#" onclick="return doclink('link-82', 'byte', 'link-82');">byte</a></tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">-</tt><tt class="py-number">256</tt><tt class="py-op">)</tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">value</tt> <tt class="py-op">&lt;</tt> <tt class="py-op">-</tt><tt class="py-number">128</tt><tt class="py-op">:</tt> <tt class="py-keyword">return</tt> <tt id="link-83" class="py-name"><a title="pyprocessing.mathfunctions.byte" class="py-name" href="#" onclick="return doclink('link-83', 'byte', 'link-82');">byte</a></tt><tt class="py-op">(</tt><tt class="py-number">256</tt><tt class="py-op">+</tt><tt class="py-name">value</tt><tt class="py-op">)</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">value</tt> </tt>
</div><a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line"> </tt>
<a name="constrain"></a><div id="constrain-def"><a name="L82"></a><tt class="py-lineno"> 82</tt> <a class="py-toggle" href="#" id="constrain-toggle" onclick="return toggle('constrain');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#constrain">constrain</a> <tt class="py-op">(</tt><tt class="py-param">value</tt><tt class="py-op">,</tt> <tt class="py-param">minv</tt><tt class="py-op">,</tt> <tt class="py-param">maxv</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="constrain-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="constrain-expanded"><a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line">    <tt class="py-docstring">"""Returns the constrained value so that it falls between minv and maxv."""</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">min</tt><tt class="py-op">(</tt><tt class="py-name">max</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">,</tt><tt class="py-name">minv</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">maxv</tt><tt class="py-op">)</tt> </tt>
</div><a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line"> </tt>
<a name="dist"></a><div id="dist-def"><a name="L86"></a><tt class="py-lineno"> 86</tt> <a class="py-toggle" href="#" id="dist-toggle" onclick="return toggle('dist');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#dist">dist</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">args</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="dist-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="dist-expanded"><a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line">    <tt class="py-docstring">"""Calculates the Euclidean distance between two points. Arguments are of the form</tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line"><tt class="py-docstring">    dist(x1,y1,x2,y2)</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line"><tt class="py-docstring">    dist(x1,y1,z1,x2,y2,z2)"""</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">)</tt><tt class="py-op">==</tt><tt class="py-number">4</tt><tt class="py-op">:</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">sqrt</tt><tt class="py-op">(</tt><tt class="py-name">sum</tt><tt class="py-op">(</tt><tt class="py-op">[</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">-</tt><tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-keyword">for</tt> <tt class="py-name">a</tt><tt class="py-op">,</tt><tt class="py-name">b</tt> <tt class="py-keyword">in</tt> <tt class="py-name">zip</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-number">2</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line">        <tt class="py-keyword">assert</tt><tt class="py-op">(</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">)</tt><tt class="py-op">==</tt><tt class="py-number">6</tt><tt class="py-op">)</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">sqrt</tt><tt class="py-op">(</tt><tt class="py-name">sum</tt><tt class="py-op">(</tt><tt class="py-op">[</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">-</tt><tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-keyword">for</tt> <tt class="py-name">a</tt><tt class="py-op">,</tt><tt class="py-name">b</tt> <tt class="py-keyword">in</tt> <tt class="py-name">zip</tt><tt class="py-op">(</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-number">3</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">args</tt><tt class="py-op">[</tt><tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line"> </tt>
<a name="map"></a><div id="map-def"><a name="L96"></a><tt class="py-lineno"> 96</tt> <a class="py-toggle" href="#" id="map-toggle" onclick="return toggle('map');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#map">map</a><tt class="py-op">(</tt><tt class="py-param">value</tt><tt class="py-op">,</tt><tt class="py-param">low1</tt><tt class="py-op">,</tt><tt class="py-param">high1</tt><tt class="py-op">,</tt><tt class="py-param">low2</tt><tt class="py-op">,</tt><tt class="py-param">high2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="map-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="map-expanded"><a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line">    <tt class="py-docstring">"""Re-maps a number from one range to another.</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line"><tt class="py-docstring">    CAUTION: this function overwrites Python's map builtin.</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">-</tt><tt class="py-name">low1</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-name">high1</tt><tt class="py-op">-</tt><tt class="py-name">low1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">high2</tt><tt class="py-op">-</tt><tt class="py-name">low2</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-name">low2</tt> </tt>
</div><a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line"> </tt>
<a name="norm"></a><div id="norm-def"><a name="L102"></a><tt class="py-lineno">102</tt> <a class="py-toggle" href="#" id="norm-toggle" onclick="return toggle('norm');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#norm">norm</a><tt class="py-op">(</tt><tt class="py-param">value</tt><tt class="py-op">,</tt><tt class="py-param">low</tt><tt class="py-op">,</tt><tt class="py-param">high</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="norm-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="norm-expanded"><a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line">    <tt class="py-docstring">"""Normalizes a number from another range into a value between 0 and 1.</tt> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line"><tt class="py-docstring">    Identical to map(value, low, high, 0, 1)."""</tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">-</tt><tt id="link-84" class="py-name" targets="Function pyprocessing.colors.low()=pyprocessing.colors-module.html#low"><a title="pyprocessing.colors.low" class="py-name" href="#" onclick="return doclink('link-84', 'low', 'link-84');">low</a></tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt id="link-85" class="py-name" targets="Function pyprocessing.colors.high()=pyprocessing.colors-module.html#high"><a title="pyprocessing.colors.high" class="py-name" href="#" onclick="return doclink('link-85', 'high', 'link-85');">high</a></tt><tt class="py-op">-</tt><tt id="link-86" class="py-name"><a title="pyprocessing.colors.low" class="py-name" href="#" onclick="return doclink('link-86', 'low', 'link-84');">low</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line"> </tt>
<a name="mag"></a><div id="mag-def"><a name="L107"></a><tt class="py-lineno">107</tt> <a class="py-toggle" href="#" id="mag-toggle" onclick="return toggle('mag');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#mag">mag</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">args</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="mag-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="mag-expanded"><a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line">    <tt class="py-docstring">"""Calculates the magnitude (or length) of a vector. Arguments are of the form</tt> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line"><tt class="py-docstring">    mag(x,y)</tt> </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line"><tt class="py-docstring">    mag(x,y,z)</tt> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">sqrt</tt><tt class="py-op">(</tt><tt class="py-name">sum</tt><tt class="py-op">(</tt><tt class="py-op">[</tt><tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-name">a</tt> <tt class="py-keyword">for</tt> <tt class="py-name">a</tt> <tt class="py-keyword">in</tt> <tt class="py-name">args</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line"> </tt>
<a name="lerp"></a><div id="lerp-def"><a name="L114"></a><tt class="py-lineno">114</tt> <a class="py-toggle" href="#" id="lerp-toggle" onclick="return toggle('lerp');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#lerp">lerp</a><tt class="py-op">(</tt><tt class="py-param">value1</tt><tt class="py-op">,</tt><tt class="py-param">value2</tt><tt class="py-op">,</tt><tt class="py-param">amt</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="lerp-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="lerp-expanded"><a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line">    <tt class="py-docstring">"""Calculates a number between two numbers at a specific increment. </tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line"><tt class="py-docstring">    The amt parameter is the amount to interpolate between the two values</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line"><tt class="py-docstring">    where 0.0 equal to the first point, 0.1 is very near the first point, </tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"><tt class="py-docstring">    0.5 is half-way in between, etc"""</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">value1</tt><tt class="py-op">+</tt><tt class="py-name">amt</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">value2</tt><tt class="py-op">-</tt><tt class="py-name">value1</tt><tt class="py-op">)</tt> </tt>
</div><a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line">     </tt>
<a name="sq"></a><div id="sq-def"><a name="L121"></a><tt class="py-lineno">121</tt> <a class="py-toggle" href="#" id="sq-toggle" onclick="return toggle('sq');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyprocessing.mathfunctions-module.html#sq">sq</a><tt class="py-op">(</tt><tt class="py-param">value</tt><tt class="py-op">)</tt><tt class="py-op">:</tt>  </tt>
</div><a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line">    <tt class="py-docstring">"""Returns the square of value."""</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">value</tt><tt class="py-op">*</tt><tt class="py-name">value</tt> </tt>
</div><a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line"> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line"><tt class="py-comment"># test program</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-keyword">if</tt> <tt class="py-name">__name__</tt><tt class="py-op">==</tt><tt class="py-string">'__main__'</tt><tt class="py-op">:</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line">    <tt class="py-keyword">print</tt> <tt id="link-87" class="py-name" targets="Function pyprocessing.mathfunctions.dist()=pyprocessing.mathfunctions-module.html#dist"><a title="pyprocessing.mathfunctions.dist" class="py-name" href="#" onclick="return doclink('link-87', 'dist', 'link-87');">dist</a></tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line">    <tt class="py-keyword">print</tt> <tt id="link-88" class="py-name" targets="Function pyprocessing.mathfunctions.constrain()=pyprocessing.mathfunctions-module.html#constrain"><a title="pyprocessing.mathfunctions.constrain" class="py-name" href="#" onclick="return doclink('link-88', 'constrain', 'link-88');">constrain</a></tt><tt class="py-op">(</tt><tt class="py-number">0.1</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt id="link-89" class="py-name"><a title="pyprocessing.mathfunctions.constrain" class="py-name" href="#" onclick="return doclink('link-89', 'constrain', 'link-88');">constrain</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">0.1</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt id="link-90" class="py-name"><a title="pyprocessing.mathfunctions.constrain" class="py-name" href="#" onclick="return doclink('link-90', 'constrain', 'link-88');">constrain</a></tt><tt class="py-op">(</tt><tt class="py-number">10</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line">    <tt class="py-keyword">print</tt> <tt id="link-91" class="py-name" targets="Function pyprocessing.mathfunctions.map()=pyprocessing.mathfunctions-module.html#map"><a title="pyprocessing.mathfunctions.map" class="py-name" href="#" onclick="return doclink('link-91', 'map', 'link-91');">map</a></tt><tt class="py-op">(</tt><tt class="py-number">25</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-number">100</tt><tt class="py-op">,</tt><tt class="py-number">100</tt><tt class="py-op">,</tt><tt class="py-number">300</tt><tt class="py-op">)</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line">    <tt class="py-keyword">print</tt> <tt id="link-92" class="py-name" targets="Function pyprocessing.mathfunctions.norm()=pyprocessing.mathfunctions-module.html#norm"><a title="pyprocessing.mathfunctions.norm" class="py-name" href="#" onclick="return doclink('link-92', 'norm', 'link-92');">norm</a></tt><tt class="py-op">(</tt><tt class="py-number">25</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-number">100</tt><tt class="py-op">)</tt> </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line">    <tt class="py-keyword">print</tt> <tt id="link-93" class="py-name" targets="Function pyprocessing.mathfunctions.mag()=pyprocessing.mathfunctions-module.html#mag,Method pyprocessing.pvector.PVector.mag()=pyprocessing.pvector.PVector-class.html#mag"><a title="pyprocessing.mathfunctions.mag
pyprocessing.pvector.PVector.mag" class="py-name" href="#" onclick="return doclink('link-93', 'mag', 'link-93');">mag</a></tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line"> </tt><script type="text/javascript">
<!--
expandto(location.href);
// -->
</script>
</pre>
<br />
<!-- ==================== NAVIGATION BAR ==================== -->
<table class="navbar" border="0" width="100%" cellpadding="0"
       bgcolor="#a0c0ff" cellspacing="0">
  <tr valign="middle">
  <!-- Home link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="pyprocessing-module.html">Home</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Tree link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="module-tree.html">Trees</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Index link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="identifier-index.html">Indices</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Help link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="help.html">Help</a>&nbsp;&nbsp;&nbsp;</th>

      <th class="navbar" width="100%"></th>
  </tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" width="100%%">
  <tr>
    <td align="left" class="footer">
    Generated by Epydoc 3.0.1 on Mon Jun 11 22:06:48 2012
    </td>
    <td align="right" class="footer">
      <a target="mainFrame" href="http://epydoc.sourceforge.net"
        >http://epydoc.sourceforge.net</a>
    </td>
  </tr>
</table>

<script type="text/javascript">
  <!--
  // Private objects are initially displayed (because if
  // javascript is turned off then we want them to be
  // visible); but by default, we want to hide them.  So hide
  // them unless we have a cookie that says to show them.
  checkCookie();
  // -->
</script>
</body>
</html>
